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Mrac [35]
3 years ago
8

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Mathematics
1 answer:
maxonik [38]3 years ago
3 0

Answer:

1) shifts f(x) 4 units down  = g(x) = 2x-10

2) stretches by factor 4    =  g(x) = 8x-24

3) shifts f(x) 4 units right   =  g(x) = 2x-14

4) compresses by factor 4 =  g(x) = 8x-6

Step-by-step explanation:

1)<em> When we have to move the function down by 4 units, subtract the whole function by -4, that is y -4.</em>

Thus, f(x) becomes  g(x) = 2x-6-(4) = 2x-10

2) <em>When the function is stretched away from x axis, it means in Y direction.</em>

<em>  Thus, when stretched 4 units in Y direction, the function becomes 4(f(x))</em>

 =  g(x) = 4(2x-6) = 8x-24

3)<em>When we have to move the function right by 4 units, replace x with (x-4) in the function.</em>

Thus, f(x) becomes  g(x) = 2(x-4)-6 = 2x-8-6 = 2x-14

4) <em>When the function is stretched towards y axis, it means in X direction.</em>

<em>  Thus, when compressed 4 units in X direction, replace the x by 4x.</em>

 =  g(x) = 2(4x)-6 = 8x-6

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Jaffrey was offered a job at $950 per month with a $22 increase every month for the first year. How much money can he make in th
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Jaffrey will end up making $1214 in the first year

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4 years ago
Ajax is 5 and 1 fourth feet tall. His sister is 3 eighths foot shorter than Ajax How tall is Ajax Sister?
user100 [1]

Answer:

4\frac{3}{4} feet tall

Step-by-step explanation:

Ajax is "5 and 1 fourth feet tall", which can be written as the mixed number 5\frac{1}{4} .

His sister is "3 eighths foot shorter", so she's 3/8 feet shorter than 5 1/4.

So, this is just a subtraction problem:

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To solve this, we want to convert 5 1/4 into an improper fraction, which is: \frac{21}{4} . Now, we want to find a common denominator. In this case, that common denominator is 8, so \frac{21}{4} =\frac{42}{8} .

Finally, we subtract 3/8 from 42/8: \frac{42}{8} -\frac{3}{8} =\frac{39}{8} . So, Ajax's sister is 39/8 feet. Converting this into a mixed number, we have: 39/8 = 4\frac{6}{8} =4\frac{3}{4} .

Therefore, Ajax's sister is 4\frac{3}{4} feet tall.

Hope this helps!

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